A specification-compatible Bluetooth inquiry simplification

We identify and analyze a specification-compatible method for implementing the Bluetooth inquiry function that simplifies the design while reducing the mean inquiry time. Using simulation data and independent empirical measurements, we verify a previously derived probability density function for the inquiry time of a Bluetooth device. Although the derived density matches the simulated data, it does not closely match the measured data. Assuming the manufacturer made a logical simplification to the specification, we derive the probability density function using the simplification and show it matches the empirical data. In addition to simplifying the inquiry substate implementation, the inquiry modification performs better than the specified inquiry process. We also present a simple method to mitigate a noisy channel.